activity
20212026
most citedHilbert curve vs Hilbert space: exploiting fractal 2D covering to increase tensor network efficiency

25 citations · 62 across the 11 of their papers we have counts for

collaborators

12 papers

quant-ph2026

Global and nonlocal magic of quantum many-body scars

Lukas Ebner, Giovanni Cataldi, Kaidi Xu +2

Nonergodic features of chaotic quantum many-body systems are commonly characterized through local observables, fidelity, and entanglement entropy. Here, using global and nonlocal m…

hep-lat2026

Non-Abelian string melting and thermalization in an open lattice gauge theory

Erick Parra Verde, Giovanni Cataldi, Stefan Kühn +2

Open-system lattice gauge theory (LGT) has so far been developed predominantly in Abelian settings, leaving open how genuinely non-Abelian gauge structure reshapes dissipative real…

hep-lat2026

Real-Time String Dynamics in D Lattice Quantum Electrodynamics

Helen Zwölfer, Giovanni Cataldi, Umberto Borla +1

Understanding real-time string dynamics in three spatial dimensions is essential for connecting quantum simulations of lattice gauge theories (LGTs) to the physical dimensionality…

quant-ph2026

Quantum Resources in Disorder-Free Localization Dynamics of Gauge Theories

Devendra Singh Bhakuni, Giovanni Cataldi, Jad C. Halimeh +1

Quantum-state complexity diagnostics provide valuable insight into many-body dynamics, information scrambling, and quantum computation. Here, we investigate the real-time dynamics…

hep-lat2025

Real-Time String Dynamics in a D Non-Abelian Lattice Gauge Theory: String Breaking, Glueball Formation, Baryon Blockade, and Tension Reduction

Giovanni Cataldi, Simone Orlando, Jad C. Halimeh

Understanding flux string dynamics can provide insight into quark confinement and hadronization. First-principles quantum and numerical simulations have mostly focused on toy-model…

cond-mat.str-el2025

Optimal local basis truncation of lattice quantum many-body systems

Peter Majcen, Giovanni Cataldi, Pietro Silvi +1

We show how to optimally reduce the local Hilbert basis of lattice quantum many-body (QMB) Hamiltonians. The basis truncation exploits the most relevant eigenvalues of the estimate…

cond-mat.quant-gas2025★ 1 cited

Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory

Giovanni Cataldi, Giuseppe Calajó, Pietro Silvi +2

We investigate how isolated quantum many-body systems dynamically equilibrate under non-Abelian gauge-symmetry constraints. By encoding gauge superselection sectors into static $\m…

hep-lat2025

Hamiltonian Lattice Gauge Theories: emergent properties from Tensor Network methods

Giovanni Cataldi

This thesis develops advanced Tensor Network (TN) methods to address Hamiltonian Lattice Gauge Theories (LGTs), overcoming limitations in real-time dynamics and finite-density regi…

hep-lat2024★ 19 cited

Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap

Giuseppe Magnifico, Giovanni Cataldi, Marco Rigobello +4

Tensor network methods are a class of numerical tools and algorithms to study many-body quantum systems in and out of equilibrium, based on tailored variational wave functions. The…

cond-mat.quant-gas2024★ 11 cited

Quantum Many-Body Scarring in a Non-Abelian Lattice Gauge Theory

Giuseppe Calajò, Giovanni Cataldi, Marco Rigobello +5

Quantum many-body scarring (QMBS) is an intriguing mechanism of weak ergodicity breaking that has recently spurred significant attention. Particularly prominent in Abelian lattice…

quant-ph2023★ 6 cited

Digital quantum simulation of lattice fermion theories with local encoding

Marco Ballarin, Giovanni Cataldi, Giuseppe Magnifico +5

We numerically analyze the feasibility of a platform-neutral, general strategy to perform quantum simulations of fermionic lattice field theories under open boundary conditions. Th…

quant-ph2021★ 25 cited

Hilbert curve vs Hilbert space: exploiting fractal 2D covering to increase tensor network efficiency

Giovanni Cataldi, Ashkan Abedi, Giuseppe Magnifico +4

We present a novel mapping for studying 2D many-body quantum systems by solving an effective, one-dimensional long-range model in place of the original two-dimensional short-range…